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472603112020 = 2251317541197641
BaseRepresentation
bin1101110000010010101…
…01110011001001010100
31200011212112010121020201
412320021111303021110
530220342344041040
61001035540510244
746100355112354
oct6701125631124
91604775117221
10472603112020
11172480155016
12777159ab384
1335749178260
1418c347cab64
15c460801a9a
hex6e09573254

472603112020 has 96 divisors (see below), whose sum is σ = 1133778866976. Its totient is φ = 163930521600.

The previous prime is 472603111999. The next prime is 472603112027. The reversal of 472603112020 is 20211306274.

It can be written as a sum of positive squares in 16 ways, for example, as 171715756996 + 300887355024 = 414386^2 + 548532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 472603112020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472603112027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292400 + ... + 2490040.

It is an arithmetic number, because the mean of its divisors is an integer number (11810196531).

Almost surely, 2472603112020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472603112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566889433488).

472603112020 is an abundant number, since it is smaller than the sum of its proper divisors (661175754956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472603112020 is a wasteful number, since it uses less digits than its factorization.

472603112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198221 (or 198219 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 472603112020 its reverse (20211306274), we get a palindrome (492814418294).

The spelling of 472603112020 in words is "four hundred seventy-two billion, six hundred three million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 541 884 1082 1105 2164 2210 2705 4420 5410 7033 9197 10820 14066 18394 28132 35165 36788 45985 70330 91970 119561 140660 183940 197641 239122 395282 478244 597805 790564 988205 1195610 1976410 2391220 2569333 3359897 3952820 5138666 6719794 10277332 12846665 13439588 16799485 25693330 33598970 43678661 51386660 67197940 87357322 106923781 174714644 213847562 218393305 427695124 436786610 534618905 873573220 1069237810 1390009153 1817704277 2138475620 2780018306 3635408554 5560036612 6950045765 7270817108 9088521385 13900091530 18177042770 23630155601 27800183060 36354085540 47260311202 94520622404 118150778005 236301556010 472603112020